Answered: For a normal random variable with mean…

For a normal random variable with mean 16.5 and standard deviation 0.8, find a point of the distribution such that there is a 0.85 probability that the value of the random variable will be above it.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose that a vending machine automatically pours soft drinks into paper cups. The amount of soda…

A: Population mean, μ=6.5 Population sd, σ=0.4

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

Q: The owner of a shop knows the number of customers coming to his shop in a day is a random variable…

A: mean = 23.7 sigma = 4.2 Let X represent the nu,ber of people coming to shop in a day

Q: is a normal random variable with mean 20 and stadard deviation 50. Find the probability that 15

A: Answer the population mean = 20The population standard deviation = 50Using formula:P [A<Z<B] =…

Q: study of the amount of time it takes a mechanic to rebuild a car's transmission shows that the mean…

A: Mean=M=8.4, Standard deviation=S=1.8

Q: The life, in hours, of a battery produced by company A has a normal distribution with mean 20 and…

A: Introduction: Denote the random variable representing the life (hours) of a randomly selected…

Q: mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 90 sheets of…

A: Given: Mean=μ=4Standard deviation=σ=1.1Sample size=n=90Sample mean=x¯=4.1 First, we have to obtain…

Q: A test score in the top 2% is required. The test is designed to have a mean of 100 and a std dev. of…

A: It is given that the test is normally distributed with mean 100 and standard deviation is 15. The…

Q: Given a random variable X that follows a normal distribution with mean = 100 and standard deviation…

Q: Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean…

A: From the given information, The mean of the distribution is 17.57 ppm and the standard deviation is…

Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…

A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm

Q: It is known that a certain lacrosse goalie will successfully make a save 85.65% of the time. Suppose…

A: We have given that a Binomial distribution with parameter p=0.8565 and n=15. The pmf of Binomial…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: GivenMean(μ1)=4.0Mean(μ2)=4.0standard deviation(σ1)=2.5standard deviation(σ2)=2.5sample…

Q: A statistics professor is training for a 5K race. Her training times in a 5K follow a normal…

A: It is given thatMean, μ = 25Standard deviation, σ = 0.5Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: A population is normally distributed with mean 15 and standard deviation 2.6. Find the probability…

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: The height of an adult male in the United States is approximately normally distributed with a mean…

A: From the provided information, Mean (µ) = 69.0 Standard deviation (σ) = 2.6 X~N (69.0, 2.6)

Q: It is known that a certain hockey goalie will successfully make a save 86.83% of the time. Suppose…

A: Given n=10 P=0.8683

Q: The burn time for the first stage of a rocket is a normal random variable with a standard deviation…

A: The objective of this question is to find the 95% Bayesian interval for the population mean μ of the…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard…

A: It is given that the IQ score follows normal distribution with mean 104.7 and standard deviation…

Q: fast food restaurant sells hamburgers and chicken sandwiches. On a typical weekday the demand for…

Q: Assume that the height of a type of tree has a normal probability distribution with a mean of 55.2…

A: Given that, Assume that the height of a type of tree has a normal probability distribution with a…

Q: X is a normally distributed random variable with mean 61 and standard deviation 23. What is the…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.1 and a standard…

A: Answer:- Given, IQ scores(X) are normally distributed with mean, μ = 98.1 and standard deviation, σ…

Q: Suppose that an accounting firm does a study to determine the time needed to complete one person's…

A: Given that An accounting firm does a study to determine the time needed to complete one person's…

Q: Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X…

A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

Q: A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: According to Chebychev's theorem, the probability that the random variable Y differ from the mean u…

A: The provided information is:

Q: a physical fitness association is including the mile run in its secondary school test. the time for…

A: Suppose, X be the time for the event for girls in secondary school (in seconds). Given that X…

Q: The lifespan of EEL light bulbs is a random variable obeying a normal law. Lifetime average of these…

A: The lifespan of EEL light bulbs is a random variable obeying a normal law. The lifetimeaverage of…

Q: Assume that the height of a type of tree has a normal probability distribution with a mean of 85.9…

A: Let us denote X= height of a tree Given that X follows a normal distribution with mean=85.9 and…

Q: If z is a standard normal variable, find the probability that z is between -2.07 and 3.28

A: Z is between -2.07 and 3.28

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.5 and a standard…

A: Let X be the random variable from Normal distribution with mean (µ) = 98.5, standard deviation (σ) =…

Q: A random variable has a longnormal distribution with mean 10 and variance 4. Calculate the…

Q: Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the…

A: The provided information are: Population meanμ=12.23Population standard deviationσ=0.04 Consider, X…

Q: Amos and Andy are students with the same ability. The potential grade that each of them would…

A: Let X be the potential grade that Amos would receive on the test and Y be the potential grade that…

Q: When a normal random variable Y is transformed to a standard normal random variable Z, the mean…

A: When a normal random variable Y is transformed to a standard normal random variable Z, the mean…

Q: Consider a normally distributed random variable X with a mean of 85 and standard deviation of 10.…

A: first question is incomplete please re-submit the question with complete information.

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

For a normal random variable with mean 16.5 and standard deviation 0.8,
find a point of the distribution such that there is a 0.85 probability that the value of
the random variable will be above it.

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X is less than 9.66 is 0.67, then what is the standard deviation of X?
A random sample of 40 computer chips is drawn from population and the weight of each recorded. A previous study showed that the population mean weight was 0.8 ounces with a standard deviation of 0.1 ounces. What is the probability that the sample has a mean weight between 0.75 and 0.90 ounces?
A market researcher analyzes how many cases of bottled water a customer buys at a grocery store. The distribution has a mean of 3.0 and standard deviation of 0.7. Assuming a random sample of 400 customers, what is the probability that the total cases of bottled water purchased is less than 1,186?
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =
Consider a random variable X that follows a normal distribution with mean 100 and standard deviation 20. What is the probability that X is less than 140?
The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 30 and a standard deviation of 1. What is the probability that the MPG for a randomly selected compact car would be less than 28?
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.
X is a normally distributed random variable with mean 62 and standard deviation 13. What is the probability that X is between 36 and 88? Use the 0.68-0.95-0.997 rule and write your answer as a decimal.
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
The probability is 0.02 that an item produced by a factory isdefective. A shipment of 10,000 items is sent to its warehouse. Find the expectednumber of defective items and the standard deviation.